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Conditionality Properties for the Bivariate Logarithmic Distribution with an Application to Goodness of Fit

  • A. W. Kemp
Part of the NATO Advanced study Institutes Series book series (ASIC, volume 79)

Summary

The paper gives new modes of genesis for the multivariate and homogeneous bivariate logarithmic distributions. Marginality and conditionality properties are derived (including, e.g., X|Y > X, X|Y - X = n), and are applied to the problem of grouping frequencies for a chi-square goodness-of-fit test for the homogeneous bivariate logarithmic distribution. The proposed procedure is objective and impartial with respect to rows and columns.

Key Words

Bivariate logarithmic series distribution multivariate logarithmic series distribution modes of genesis chi-squared goodness-of-fit objective grouping homogeneous distributions 

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Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • A. W. Kemp
    • 1
  1. 1.School of Mathematical SciencesUniversity of BradfordBradfordEngland

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